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Finding the Fourth Proportional to 10,003.40, 13,808.58 and 8,953.64

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Solution

The fourth proportional to 10,003.40, 13,808.58 and 8,953.64 is: 12,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.40 : 13,808.58 = 8,953.64 : x
  2. Step 2: Convert to fraction form
    10,003.40/13,808.58 = 8,953.64/x
  3. Step 3: Cross multiply
    10,003.40x = 13,808.58 × 8,953.64
  4. Step 4: Simplify right side
    10,003.40x = 123,637,054.23
  5. Step 5: Solve for x
    x = 123,637,054.23/10,003.40
  6. Step 6: Final answer
    x = 12,359.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.